Yep, they did that for me as I didn't need one at the time.
And if you put your second
website hosting in a seperate directory in the public_html folder and don't think to it in that folder but use the domain name i.e.
www.my-2nd-domain.com rather than
www.my-main-domain.com/secondwebsite, the search engines and nobody else will know it's hosted on the same server and the
website hostings will remain totally independent.